메뉴 건너뛰기




Volumn 66, Issue , 2006, Pages 471-489

Lorentz spaces and nonlinear elliptic systems

Author keywords

Critical growth; Exponential type; Lorentz space; Maximal growth; Orlicz space

Indexed keywords


EID: 84938102644     PISSN: 14211750     EISSN: 23740280     Source Type: Book Series    
DOI: 10.1007/3-7643-7401-2_32     Document Type: Chapter
Times cited : (27)

References (18)
  • 4
    • 0000628903 scopus 로고
    • A note on limiting cases of Sobolev embeddings and convolution inequalities
    • H. Brezis and S. Wainger, A note on limiting cases of Sobolev embeddings and convolution inequalities, Comm. P.D.E. 5 (1980), 773–789.
    • (1980) Comm. P.D.E. , vol.5 , pp. 773-789
    • Brezis, H.1    Wainger, S.2
  • 6
    • 8844229573 scopus 로고    scopus 로고
    • Do Ó and B. Ruf, Critical and subcritical elliptic systems in dimension two
    • D. G. de Figueiredo, J. M. do Ó and B. Ruf, Critical and subcritical elliptic systems in dimension two, Indiana University Mathematics Journal, 53 (2004), 1037–1053.
    • (2004) Indiana University Mathematics Journal , vol.53 , pp. 1037-1053
    • de Figueiredo, D.G.1    do Ó, J.M.2
  • 8
    • 33947168565 scopus 로고    scopus 로고
    • Ellitic systems with nonlinearities of arbitrary growth
    • D. G. de Figueiredo and B. Ruf, Ellitic systems with nonlinearities of arbitrary growth, Mediterr. J. Math. 1 (2004) 417–431.
    • (2004) Mediterr. J. Math , vol.1 , pp. 417-431
    • de Figueiredo, D.G.1    Ruf, B.2
  • 10
    • 22044455761 scopus 로고    scopus 로고
    • Strongly indefinite systems with critical Sobolev exponents
    • J. Hulshof, E. Mitidieri and R. van der Vorst, Strongly indefinite systems with critical Sobolev exponents, Trans. Amer. Math. Soc. 350 (1998), 2349–2365.
    • (1998) Trans. Amer. Math. Soc , vol.350 , pp. 2349-2365
    • Hulshof, J.1    Mitidieri, E.2    van Der Vorst, R.3
  • 11
    • 0002932245 scopus 로고
    • Differential systems with strongly indefinite variational structure
    • J. Hulshof and R. van der Vorst, Differential systems with strongly indefinite variational structure, J. Funct. Anal. 114 (1993), 32–58.
    • (1993) J. Funct. Anal. , vol.114 , pp. 32-58
    • Hulshof, J.1    van Der Vorst, R.2
  • 12
    • 84963254785 scopus 로고
    • A Rellich type identity and applications
    • E. Mitidieri, A Rellich type identity and applications, Comm. Partial Diff. Equations 18 (1993), 125–151.
    • (1993) Comm. Partial Diff. Equations , vol.18 , pp. 125-151
    • Mitidieri, E.1
  • 13
    • 0001173833 scopus 로고
    • A sharp form of an inequality by N
    • J. Moser, A sharp form of an inequality by N. Trudinger, Ind. Univ. J. 20 (1971), 1077–1092.
    • (1971) Trudinger, Ind. Univ. J. , vol.20 , pp. 1077-1092
    • Moser, J.1
  • 14
    • 4243894967 scopus 로고
    • The Sobolev embedding in the case pl = n, Proceedings of the Technical Scientific Conference on Advances of Scientific Research 1964–1965
    • Moscov. Ènerget. Inst., Moscow
    • S. I. Pohozaev, The Sobolev embedding in the case pl = n, Proceedings of the Technical Scientific Conference on Advances of Scientific Research 1964–1965. Mathematics Section, 158–170, Moscov. Ènerget. Inst., Moscow, 1965.
    • (1965) Mathematics Section , pp. 158-170
    • Pohozaev, S.I.1
  • 15
    • 0001901435 scopus 로고
    • Minimax Methods in Critical Point Theory with Applications to Differential Equations
    • AMS, Providence, RI
    • P. H. Rabinowitz, Minimax Methods in Critical Point Theory with Applications to Differential Equations, CBMS Regional Conf. Ser. in Math. 65, AMS, Providence, RI, 1986.
    • (1986) CBMS Regional Conf. Ser. in Math. , vol.65
    • Rabinowitz, P.H.1
  • 16
    • 0001030020 scopus 로고
    • A note on Trudinger’s extension of Sobolev’s inequality
    • R. S. Strichartz, A note on Trudinger’s extension of Sobolev’s inequality, Indiana U. Math. J. 21 (1972), 841–842.
    • (1972) Indiana U. Math. J. , vol.21 , pp. 841-842
    • Strichartz, R.S.1
  • 17
    • 0000453612 scopus 로고
    • On imbeddings into Orlicz spaces and some applications
    • N. S. Trudinger, On imbeddings into Orlicz spaces and some applications, J. Math. Mech. 17 (1967), 473–484.
    • (1967) J. Math. Mech. , vol.17 , pp. 473-484
    • Trudinger, N.S.1
  • 18
    • 0000285007 scopus 로고
    • Variational identities and applications to differential systems
    • R. van der Vorst, Variational identities and applications to differential systems, Arch. Rat. Mech. Anal. 116 (1991), 375–398.
    • (1991) Arch. Rat. Mech. Anal , vol.116 , pp. 375-398
    • van Der Vorst, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.